Dynamic Logic of Propositional Assignments: A Well-Behaved Variant of PDL

  • Authors:
  • Philippe Balbiani;Andreas Herzig;Nicolas Troquard

  • Affiliations:
  • -;-;-

  • Venue:
  • LICS '13 Proceedings of the 2013 28th Annual ACM/IEEE Symposium on Logic in Computer Science
  • Year:
  • 2013

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Abstract

We study a version of Propositional Dynamic Logic (PDL) that we call Dynamic Logic of Propositional Assignments (DL-PA). The atomic programs of DL-PA are assignments of propositional variables to true or to false. We show that DL-PA behaves better than PDL, having e.g. compactness and eliminability of the Kleene star. We establish tight complexity results: both satisfiability and model checking are EXPTIME-complete.